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Finding the Fourth Proportional to 270,572.94, 405,416.13 and 144,078.88

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Solution

The fourth proportional to 270,572.94, 405,416.13 and 144,078.88 is: 215,882.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,572.94 : 405,416.13 = 144,078.88 : x
  2. Step 2: Convert to fraction form
    270,572.94/405,416.13 = 144,078.88/x
  3. Step 3: Cross multiply
    270,572.94x = 405,416.13 × 144,078.88
  4. Step 4: Simplify right side
    270,572.94x = 58,411,901,944.33
  5. Step 5: Solve for x
    x = 58,411,901,944.33/270,572.94
  6. Step 6: Final answer
    x = 215,882.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.